34628918093952 has 512 divisors, whose sum is σ = 114261963325440. Its totient is φ = 9048427315200.

The previous prime is 34628918093927. The next prime is 34628918093963. The reversal of 34628918093952 is 25939081982643.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1644209502 + ... + 1644230562.

It is an arithmetic number, because the mean of its divisors is an integer number (223167897120).

Almost surely, 2^{34628918093952} is an apocalyptic number.

34628918093952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34628918093952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57130981662720).

34628918093952 is an abundant number, since it is smaller than the sum of its proper divisors (79633045231488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34628918093952 is a wasteful number, since it uses less digits than its factorization.

34628918093952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21532 (or 21520 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 69.

The spelling of 34628918093952 in words is "thirty-four trillion, six hundred twenty-eight billion, nine hundred eighteen million, ninety-three thousand, nine hundred fifty-two".